4416321000 has 384 divisors, whose sum is σ = 17268975360. Its totient is φ = 931392000.

The previous prime is 4416320989. The next prime is 4416321017. The reversal of 4416321000 is 1236144.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1909845 + ... + 1912155.

It is an arithmetic number, because the mean of its divisors is an integer number (44971290).

Almost surely, 2^4416321000 is an apocalyptic number.

4416321000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4416321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8634487680).

4416321000 is an abundant number, since it is smaller than the sum of its proper divisors (12852654360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4416321000 is a wasteful number, since it uses less digits than its factorization.

4416321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4416321000 is about 66455.4061006326. The cubic root of 4416321000 is about 1640.6661234136. Note that the first 3 decimals are identical.

Adding to 4416321000 its reverse (1236144), we get a palindrome (4417557144).

The spelling of 4416321000 in words is "four billion, four hundred sixteen million, three hundred twenty-one thousand".